Multiply and divide monomials
key notes:
To multiply powers with the same base, add their exponents.
Any number to the zeroth power is equal to one.
Any number to the first power is equal to itself.
To multiply powers with the same base, add their exponents.
To divide powers with the same base, subtract their exponents.
A negative exponent can be written as a positive exponent in the denominator.
Any number to the zeroth power is equal to one.
Learn with an example
➡️ Simplify.
Express your answer using positive exponents.
9y0 . 10y0 . 2y
Simplify.
9y0 . 10y0 . 2y
2 . 9 . 10 (y0y0y) Group the coefficients and group the variables
180 (y0y0y) Multiply the coefficients
180y0+0+1 Multiply, remembering to add the exponents
180y1
180y y1=y
➡️ Simplify.
Express your answer using positive exponents.
6h-4 / (6h–1)(h)
First, simplify the denominator.
6h-4 / (6h–1)(h) Group the coefficients and group the variables
6h–4 / 6h–1+1 Multiply, remembering to add the exponents
6h–4 / 6h0
6h–4 / 6 h0 = 1
The denominator is simplified. Now, divide the numerator by the denominator.
h–4 Divide the coefficients by their highest common factor, 6
Finally, express your answer using positive exponents.
h-4
1 / h4
➡️ Simplify.
Express your answer using positive exponents.
9r / (9r–4) (r0) (r6)
First, simplify the denominator.
9r / (9r-4) (r0) (r6)
9r / 9 (r-4r0r6) Group the coefficients and group the variables
9r / 9r–4+0+6 Multiply, remembering to add the exponents
9r / 9r2
The denominator is simplified. Now, divide the numerator by the denominator.
r / r2 Divide the coefficients by their highest common factor, 9
r1-2 Divide, remembering to subtract the exponents
r-1
Finally, express your answer using positive exponents.
r-1
1 / r1
1 / r r1=r
let’s practice!🖊️
